Describe how the graph of g(x) is related to the graph of the given function f(x).
1. g(x) = f(x + 7)

2. g(x) = f (4x)

3. g(x) = - f(x)

4. Describe how to transform the graph of f(x) shown to obtain the
graph of g(x) = f(-2x) - 4, and show the graph. Include the effect of
each parameter on the graph of the image. Also include the effects of each parameter on the coordinates of the reference points shown on the graph of f(x).


5. Francis takes an urban standing scooter on a 2-mile trip at a constant
speed of 10 mi/h. If f(t) = 10t represents the distance traveled as a function of time, what function represent the distance remaining on the trip? How can you write this as a transformation of f(t)? What is the relationship of the graphs?

Use Structure The figure at the right shows the graph of a function f(x). Match each transformation of f(x) with the correct graph shown below.
6. f(x - 2)
9. f(2x)
7.
f(x+ 2)
10. ≥f(x)
8. f(x) - 2
11. -f(X)